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Finding the Third Proportional to 10,832,712 and 23,608,464

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Solution

The third proportional to 10,832,712 and 23,608,464 is: 51,451,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832,712 : 23,608,464 = 23,608,464 : x
  2. Step 2: Convert to fraction form
    10,832,712/23,608,464 = 23,608,464/x
  3. Step 3: Cross multiply
    10,832,712x = 23,608,464 × 23,608,464
  4. Step 4: Simplify right side
    10,832,712x = 557,359,572,439,296
  5. Step 5: Solve for x
    x = 557,359,572,439,296/10,832,712
  6. Step 6: Final answer
    x = 51,451,526.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.